The javelin-like object is called a shoulder tube, and is so synonymous with Trevor Bauer that the Indians put one on his bobblehead that was given away a few weeks ago. The pinky that he cut while working on his drone infamously began bleeding during Game 3 of the ALCS in Toronto. This was at a time when the Indians' starting rotation was decimated by injuries. Carlos Carrasco suffered a broken bone in his pitching hand late in September when he was hit by a line drive to the mound, and that ended his season. It's really remarkable how far into the postseason they got...but even Corey Kluber and Josh Tomlin got overworked and exhausted. I bet Tito gave Bauer the chewing out of his life (before the incident in KC in July 2019) over the drone thing. We definitely couldn't afford to lose another pitcher to injury, and even though he was able to pitch in the WS, his performances were...not good.
Anyway, here he is with his drone and shoulder tube (and bobblehead):